Graydon Carter’s Beatrice Inn is supposed to be egalitarian, but the guest list has been nearly as star-studded as when the famously elite Waverly Inn first opened. On Friday, one table included Paul McCartney and Nancy Shevell, Bruce Springsteen, Tom Hanks and Rita Wilson, Dave Grohl and the Eagles’ Joe Walsh. “They stayed for three hours, and were laughing and having a great time,” says a spy. We’re told Bianca Jagger and Ross Bleckner then arrived and sat at a separate table. “Bianca shot McCartney a glare when she walked in,” says a witness. “It seemed like they don’t get along. The two tables didn’t speak to each other at all.” Reps for both McCartney and Jagger did not respond for comment. Hanks and his wife were also spotted around town this weekend, dropping their son, rapper Chet Haze, off at Toshi’s Living Room at the Flatiron Hotel to shoot a music video. He’ll be performing there tomorrow for a crowd that’s expected to include his proud parents.